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Finding the Third Proportional to 99,043 and 149,037.50

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Solution

The third proportional to 99,043 and 149,037.50 is: 224,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,043 : 149,037.50 = 149,037.50 : x
  2. Step 2: Convert to fraction form
    99,043/149,037.50 = 149,037.50/x
  3. Step 3: Cross multiply
    99,043x = 149,037.50 × 149,037.50
  4. Step 4: Simplify right side
    99,043x = 22,212,176,406.25
  5. Step 5: Solve for x
    x = 22,212,176,406.25/99,043
  6. Step 6: Final answer
    x = 224,268.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.